An Assessment of the Application of Bernoulli’s Theorem in the Generation of Lift Force

In this paper, we will be performing a detailed analysis of the application of Bernoulli’s Theorem in aviation and aerodynamics. The aim of our experiment and consequently this paper is to verify the application of Bernoulli’s Theorem in the aviation industry. In the field of aerodynamics, Bernoulli’s Theorem has been specifically used in shaping the wings of an aircraft. Over the years, however there has been a significant controversy in the aviation industry regarding the generation of lift force, especially the applicability of Newton’s Third Law of Motion along with Bernoulli’s Theorem. The controversy seems to be due to a combined effect of Newton’s and Bernoulli’s theorems’ (e.g. ‘Equal Transit Time Theory’), which may be incorrectly applied in the real world. Further, it seems that people are over-simplifying the problem of aerodynamic lift leading to the dismissal of either one of the theorems, when in reality both the theorems seem to be at play, as explained in this paper. For the generation of lift in air, momentum, mass and energy need to be conserved. Newton’s laws take into account the conservation of momentum, whereas Bernoulli’s Theorem considers the conservation of energy. Hence, they are both relevant for the generation of lift in air. However, no one has been able to determine accurately the working of both these theorems in the process of providing lift to an aircraft. Through this research paper, we have been able to prove the effect of Bernoulli’s Theorem in generating lift in air.

Design of Streamline Dies for Drawing Driven by Fracture

This paper presents an efficient analytical method for design of streamline dies driven by fracture. The method is based on Bernoulli’s theorem relating pressure and velocity along any streamline extended to ideal flows in plasticity. The Cockroft-Latham criterion is adopted to predict the initiation of ductile fracture. In order to apply the method developed, it is not necessary to know the solution to the boundary value problem of plasticity. The final result is a simple relation between geometric parameters of the process and the constitutive parameter involved in the fracture criterion. Since the latter is supposed to be known for a given material, the relation determines a safe domain for drawing without fracture.